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WAEC Mathematics Past Questions & Answers - Page 245

1,221.

Express as a single fraction: $\frac{x}{x-2}-\frac{x+2}{x+3}$

A.

$\frac{2x^2 - 3x - 4}{(x-2)(x+3)}$

B.

$\frac{2x^2 + 3x - 4}{(x-2)(x+3)}$

C.

$\frac{2}{(x-2)(x+3)}$

D.

$\frac{ 3x + 4}{(x-2)(x+3)}$

E.

$\frac{3x - 4}{(x-2)(x+3)}$

View answer & explanation

Correct answer is D

$\frac{x}{x-2}-\frac{x+2}{x+3}$

$\frac{[x][x+3] - [x+2][x-2]}{[x-2][x+3]}$

= $\frac{x^2 + 3x - x^2 - 4}{[x-2][x+3]}$

= $\frac{3x - 4}{[x-2][x+3]}$

1,222.

In the diagram above, O is the center if the two concentric circle of radii 13cm and 10cm respectively. Find the area of the shaded portion in the sector with angle 1200 at the center

A.

$\frac{1}{3}\pi cm^2$

B.

$\pi cm^2$

C.

$3\pi cm^2$

D.

$23\pi cm^2$

E.

$46\pi cm^2$

View answer & explanation

Correct answer is D

$\frac{120\pi}{360}(R^2 - r^2)\\ \frac{1}{3}\times \pi (13^2 - 10^2)\\ \frac{1}{3}\times \pi \times 69 = 23\pi cm^2$

1,223.

The radius of a geographical globe is 60cm. Find the length of the parallel of latitude 60^oN

A.

$66\pi cm$

B.

$60\pi cm$

C.

$30\pi cm$

D.

$15\pi cm$

E.

$6\pi cm$

View answer & explanation

Correct answer is B

No explanation has been provided for this answer.

1,224.

Given that $\frac{6x-y}{x+2y}=2$ , find the value of $\frac{x}{y}$

A.

$\frac{3}{8}$

B.

$\frac{5}{8}$

C.

$\frac{4}{5}$

D.

$\frac{5}{4}$

E.

$\frac{8}{5}$

View answer & explanation

Correct answer is D

$\frac{6x-y}{x+2y}=2$

→ $(6x-y) = (x+2y)2$

= 6x - y = 2x + 4y

Collect like terms: 6x - 2x = 4y + y

→ 4x = 5y

$\frac{x}{y} = \frac{4}{5}$

1,225.

If h(m+n) = m(h+r) find h in terms of m, n and r

A.

$h=\frac{mr}{2m+n}$

B.

$h=\frac{mr}{n+m}$

C.

$h=\frac{m+n}{n}$

D.

$h=\frac{m+n}{m}$

E.

$h=\frac{mr}{n}$

View answer & explanation

Correct answer is E

$h(m+n) = m(h+r)\\ hm+hn=hm+mr\\ hn=mr\\ h=\frac{mr}{n}$

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